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Some results on two-dimensional pseudoquadrature mirror filters

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1 Author(s)

One-dimensional (1-D) pseudoquadrature mirror filters (PQMF's) have been introduced as a generalization of quadrature mirror, filter (QMF) concepts. Use of such filters allows one to split directly the spectrum of an input signal into N equally spaced subbands which can be decimated by N: 1 , then interpolated and recombined to reproduce the original signal. In this paper, a detailed derivation of conditions specifying 2-D PQMF design constraints for a distortion-free (i.e., aliasing and amplitude distortions) reconstruction of the original signal are obtained. Potential applications for such filters include efficient subband coding of digital pictures.

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Circuits and Systems, IEEE Transactions on  (Volume:34 ,  Issue: 8 )